\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.7 - 2D Boolean Operations on Nef Polygons Embedded on the Sphere
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CGAL::Nef_polyhedron_S2< Traits >::SVertex Class Reference

#include <CGAL/Nef_polyhedron_S2.h>

Definition

Figure figureNefS2SVertexIncidences illustrates the incidence of a svertex on a sphere map.

The member function out_sedge() returns the first outgoing shalfedge, and incident_sface() returns the incident sface.

Creation

There is no need for a user to create a SVertex explicitly. The class Nef_polyhedron_S2<Traits> manages the needed svertices internally.

See also
CGAL::Nef_polyhedron_S2::SHalfedge
CGAL::Nef_polyhedron_S2::SFace
CGAL::Nef_polyhedron_S2::Sphere_point

Types

The following types are the same as in Nef_polyhedron_S2<Traits>.

typedef unspecified_type Mark
 type of mark. More...
 
typedef unspecified_type Sphere_point
 sphere point type stored in SVertex. More...
 
typedef unspecified_type SVertex_const_handle
 const handle to SVertex. More...
 
typedef unspecified_type SHalfedge_const_handle
 const handle to SHalfedge. More...
 
typedef unspecified_type SFace_const_handle
 const handle to SFace. More...
 

Operations

const Markmark () const
 the mark of the svertex. More...
 
const Sphere_pointpoint () const
 the sphere point of the svertex. More...
 
bool is_isolated () const
 returns |true| if the svertex has no adjacent sedges. More...
 
SVertex_const_handle twin () const
 the twin of the svertex. More...
 
SHalfedge_const_handle out_sedge () const
 the first out sedge of the svertex. More...
 
SFace_const_handle incident_sface () const
 the incident sface of the svertex. More...
 

Member Typedef Documentation

template<typename Traits >
typedef unspecified_type CGAL::Nef_polyhedron_S2< Traits >::SVertex::Mark

type of mark.

template<typename Traits >
typedef unspecified_type CGAL::Nef_polyhedron_S2< Traits >::SVertex::SFace_const_handle

const handle to SFace.

template<typename Traits >
typedef unspecified_type CGAL::Nef_polyhedron_S2< Traits >::SVertex::SHalfedge_const_handle

const handle to SHalfedge.

template<typename Traits >
typedef unspecified_type CGAL::Nef_polyhedron_S2< Traits >::SVertex::Sphere_point

sphere point type stored in SVertex.

template<typename Traits >
typedef unspecified_type CGAL::Nef_polyhedron_S2< Traits >::SVertex::SVertex_const_handle

const handle to SVertex.

Member Function Documentation

template<typename Traits >
SFace_const_handle CGAL::Nef_polyhedron_S2< Traits >::SVertex::incident_sface ( ) const

the incident sface of the svertex.

template<typename Traits >
bool CGAL::Nef_polyhedron_S2< Traits >::SVertex::is_isolated ( ) const

returns |true| if the svertex has no adjacent sedges.

template<typename Traits >
const Mark& CGAL::Nef_polyhedron_S2< Traits >::SVertex::mark ( ) const

the mark of the svertex.

template<typename Traits >
SHalfedge_const_handle CGAL::Nef_polyhedron_S2< Traits >::SVertex::out_sedge ( ) const

the first out sedge of the svertex.

template<typename Traits >
const Sphere_point& CGAL::Nef_polyhedron_S2< Traits >::SVertex::point ( ) const

the sphere point of the svertex.

template<typename Traits >
SVertex_const_handle CGAL::Nef_polyhedron_S2< Traits >::SVertex::twin ( ) const

the twin of the svertex.